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Finding the Fourth Proportional to 10,135,331,812.40, 15,202,997,718.60 and 10,135,331,812.40

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Solution

The fourth proportional to 10,135,331,812.40, 15,202,997,718.60 and 10,135,331,812.40 is: 15,202,997,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135,331,812.40 : 15,202,997,718.60 = 10,135,331,812.40 : x
  2. Step 2: Convert to fraction form
    10,135,331,812.40/15,202,997,718.60 = 10,135,331,812.40/x
  3. Step 3: Cross multiply
    10,135,331,812.40x = 15,202,997,718.60 × 10,135,331,812.40
  4. Step 4: Simplify right side
    10,135,331,812.40x = 154,087,426,421,171,191,808
  5. Step 5: Solve for x
    x = 154,087,426,421,171,191,808/10,135,331,812.40
  6. Step 6: Final answer
    x = 15,202,997,718.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.